Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
974564 | Physica A: Statistical Mechanics and its Applications | 2015 | 11 Pages |
Abstract
The Lieb-Schupp inequality is the inequality between ground state energies of certain antiferromagnetic Heisenberg spin systems. In our paper, the numerical value of energy difference given by Lieb-Schupp inequality has been tested for spin systems in various geometries: chains, ladders and quasi-two-dimensional lattices. It turned out that this energy difference was strongly dependent on the class of the system. The relation between this difference and a fall-off of a correlation function has been empirically found and formulated as a conjecture.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Jacek Wojtkiewicz, RafaÅ SkolasiÅski,